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Optics Letters

Quadrature squeezing with ultrashort pulses in nonlinear-optical waveguides

Matthew E. Anderson, John D. Bierlein, M. Beck, M. G. Raymer

Published Mar 15, 1995• 85 citations
Publisher

Abstract

Using ultrashort laser pulses, we have observed quadrature squeezing and parametric gain in quasi-phase-matched KTiOPO(4) waveguides. Using a local oscillator pulse that is 2.5 times shorter than the squeezed pulse, we observed noise reduction of 12 +/- 1% below the shot-noise level. Parametric amplification and deamplification of a coherent seed pulse have also been observed, with no indication of gain-induced diffraction.

DOI
10.1364/ol.20.000620

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Using ultrashort laser pulses, we have observed quadrature squeezing and parametric gain in quasi-phase-matched KTiOPO(4) waveguides. Using a local oscillator pulse that is 2.5 times shorter than the squeezed pulse, we observed noise reduction of 12 +/- 1% below the shot-noise level. Parametric amplification and deamplification of a coherent seed pulse have also been observed, with no indication of gain-induced diffraction.
Nonlinear optical waveguides hold promise as parametric amplifiers and as sources of quadrature-squeezed light. The confinement of the pump field drastically increases the efficiency of the nonlinear conversion. In addition, the control of the spatial mode profiles by the waveguide geometry should diminish the effect of gain-induced diffraction, which has been seen to limit the amount of attainable squeezing in bulk parametric crystals.1 Using subpicosecond laser pulses, we have observed parametric gain as well as quadrature squeezing in a quasi-phase matched KTP waveguide.
We report traveling-wave quadrature squeezing at 1064 nm in a quasi-phase-matched LiNbO(3) waveguide, avoiding the gain-induced diffraction encountered in bulk squeezing experiments. The 10-mm-long singlemode waveguide parametric amplifier exhibited a gain of 1.9, averaged over the 20-ps mode-locked pulses, with only 0.5 W of peak pump power at 532 nm. Independent waveguides were employed for the degenerate parametric amplifier squeezer and for the second-harmonic generator that produced the pump for the parametric amplifier. We measured phase-sensitive amplification versus pump power and found close agreement with theory. The observed 14% squeezing correlates closely with the predicted value, based on the measured phase-sensitive amplification and 40% overall detection efficiency. Impedance-matched electrically resonant detection was used to boost our squeezing measurement signals substantially above the background level.
We report on the generation of quadrature squeezed light at 1.535 microm via single-pass optical parametric amplification in a periodically poled MgO:LiNbO(3) waveguide, and detection with a temporally shaped local oscillator. Squeezing of -4.1 dB was directly measured using the shaped local oscillator. Classical parametric gain of the shaped pulse was also investigated; a deamplification gain of -12.1 dB was observed with the amplification gain of only +13.8 dB. We experimentally show that the use of shaped pulse as local oscillator in homodyne detection allows us efficient squeezing detection with near-unit mode-matching efficiency.
We investigate temporal effects in pulsed squeezing by parametric amplification, including effects of group-velocity dispersion. Our calculations show that the local oscillator pulse used to detect the squeezed field cannot be made shorter than the inverse phase-matching bandwidth of the generation process without degrading the amount of squeezing detected. This result generalizes an earlier result that showed that in the absence of dispersion, the local oscillator pulse duration should approach zero for optimum squeezing detection. We further show that by using local oscillator amplitude and phase pulse shaping it should be possible to achieve more than 40 dB of detectable quadrature squeezing. This is applicable where it is possible to neglect transverse spatial dimensions and diffraction, such as in a waveguide. We derive the s-parametrized quasiprobability evolution equation for the traveling-wave parametric amplifier. As the Wigner representation results in third-order derivatives, we also use the positive-P representation as an exact representation with equivalent Ito stochastic differential equations. This allows us to compare approximate --- but easily simulated --- Wigner representation results with those using the positive-P representation.
We experimentally investigate the temporal characteristics of picosecond squeezed pulses generated via an optical parametric amplification in a periodically poled MgO:LiNbO3 waveguide. The noise variances for the various time delays between the squeezed pulse and a local oscillator are measured using a balanced homodyne detector. The measured delay dependence is asymmetric, and this asymmetry indicates that the phase chirping of the squeezed pulse is different from that of the local oscillator pulse. We show that the observed squeezing can be improved by using the pulse shaping of the local oscillator.